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A particle of mass m is confined to a one-dimensional potential well with infinite potential walls. The well extends from 0≤ x ≤ a. At time t = 0, the normalized wavefunction is
Ψ(x, t=0) = (8/5a)1/2 [ 1 + cos (πx/a)] sin (πx/a)
What is the wavefunction at a later time t = t0?
(Hint: Any wavefunction Ψ(x,t) can be expanded in terms of the basis wavefunctions
Ψ(x,t) = Σn An(t) Ψn(x,0)
where An(t) = A0 (0) exp(-iEnt2π/h).
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